Research Article
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Year 2018, Volume: 6 Issue: 1, 93 - 98, 27.04.2018
https://doi.org/10.36753/mathenot.421772

Abstract

References

  • [1] Ismail M. E. H. and Muldoon M. E., Higher Monotonicity Properties of q-gamma and q-psi Functions, Adv. Dyn. Syst. Appl., 8(2)(2013), 247-259.
  • [2] Krasniqi V. and Shabani A. S., Convexity Properties and Inequalities for a Generalized Gamma Function, Appl. Math. E-Notes, 10(2010), 27-35.
  • [3] Laforgia A. and Natalini P., Turan type inequalities for some special functions, J. Ineq. Pure Appl. Math., 7(1)(2006), Art. 22, 1-5.
  • [4] Merovci F., Turan type inequalities for p-Polygamma functions, Matematiche (Catania), LXVIII(II)(2013), 99-106.
  • [5] Merovci F., Turan type inequalities for (p, q)-Gamma function, Scientia Magna, 9(1)(2013), 25-30.
  • [6] Merovci F., Turan type inequalities for some (q, k)-Special functions, Acta Univ. Apulensis Math. Inform., 34(2013), 69-76.
  • [7] Nantomah K., The (p, q)-Analogues of Some Inequalities for the Digamma Function, J. Inequal. Spec. Funct., 5(2)(2014), 10-14.
  • [8] Qi F., A Completely Monotonic Function Related to the q-Trigamma Function, U.P.B. Sci. Bull., Series A, 76(1)(2014), 107-114.
  • [9] Sulaiman W. T., Turan type Inequalities for Some Special Functions, Aust. J. Math. Anal. Appl., 9(1)(2012), 1-7.

Remarks on Some Inequalities for Analogues of the Polygamma Function

Year 2018, Volume: 6 Issue: 1, 93 - 98, 27.04.2018
https://doi.org/10.36753/mathenot.421772

Abstract

The purpose of this study is twofold. The first is, to point out drawbacks of some recent results concerning
analogues the Polygamma function. The second is to resolve the drawbacks by providing improvements
of the previous results. 

References

  • [1] Ismail M. E. H. and Muldoon M. E., Higher Monotonicity Properties of q-gamma and q-psi Functions, Adv. Dyn. Syst. Appl., 8(2)(2013), 247-259.
  • [2] Krasniqi V. and Shabani A. S., Convexity Properties and Inequalities for a Generalized Gamma Function, Appl. Math. E-Notes, 10(2010), 27-35.
  • [3] Laforgia A. and Natalini P., Turan type inequalities for some special functions, J. Ineq. Pure Appl. Math., 7(1)(2006), Art. 22, 1-5.
  • [4] Merovci F., Turan type inequalities for p-Polygamma functions, Matematiche (Catania), LXVIII(II)(2013), 99-106.
  • [5] Merovci F., Turan type inequalities for (p, q)-Gamma function, Scientia Magna, 9(1)(2013), 25-30.
  • [6] Merovci F., Turan type inequalities for some (q, k)-Special functions, Acta Univ. Apulensis Math. Inform., 34(2013), 69-76.
  • [7] Nantomah K., The (p, q)-Analogues of Some Inequalities for the Digamma Function, J. Inequal. Spec. Funct., 5(2)(2014), 10-14.
  • [8] Qi F., A Completely Monotonic Function Related to the q-Trigamma Function, U.P.B. Sci. Bull., Series A, 76(1)(2014), 107-114.
  • [9] Sulaiman W. T., Turan type Inequalities for Some Special Functions, Aust. J. Math. Anal. Appl., 9(1)(2012), 1-7.
There are 9 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Kwara Nantomah

Publication Date April 27, 2018
Submission Date August 27, 2016
Published in Issue Year 2018 Volume: 6 Issue: 1

Cite

APA Nantomah, K. (2018). Remarks on Some Inequalities for Analogues of the Polygamma Function. Mathematical Sciences and Applications E-Notes, 6(1), 93-98. https://doi.org/10.36753/mathenot.421772
AMA Nantomah K. Remarks on Some Inequalities for Analogues of the Polygamma Function. Math. Sci. Appl. E-Notes. April 2018;6(1):93-98. doi:10.36753/mathenot.421772
Chicago Nantomah, Kwara. “Remarks on Some Inequalities for Analogues of the Polygamma Function”. Mathematical Sciences and Applications E-Notes 6, no. 1 (April 2018): 93-98. https://doi.org/10.36753/mathenot.421772.
EndNote Nantomah K (April 1, 2018) Remarks on Some Inequalities for Analogues of the Polygamma Function. Mathematical Sciences and Applications E-Notes 6 1 93–98.
IEEE K. Nantomah, “Remarks on Some Inequalities for Analogues of the Polygamma Function”, Math. Sci. Appl. E-Notes, vol. 6, no. 1, pp. 93–98, 2018, doi: 10.36753/mathenot.421772.
ISNAD Nantomah, Kwara. “Remarks on Some Inequalities for Analogues of the Polygamma Function”. Mathematical Sciences and Applications E-Notes 6/1 (April 2018), 93-98. https://doi.org/10.36753/mathenot.421772.
JAMA Nantomah K. Remarks on Some Inequalities for Analogues of the Polygamma Function. Math. Sci. Appl. E-Notes. 2018;6:93–98.
MLA Nantomah, Kwara. “Remarks on Some Inequalities for Analogues of the Polygamma Function”. Mathematical Sciences and Applications E-Notes, vol. 6, no. 1, 2018, pp. 93-98, doi:10.36753/mathenot.421772.
Vancouver Nantomah K. Remarks on Some Inequalities for Analogues of the Polygamma Function. Math. Sci. Appl. E-Notes. 2018;6(1):93-8.

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